BIRLA INSTITUTE OF TECHNOLOGY- MESRA, RANCHI NEWCOURSE STRUCTURE - To be effective from academic session 208-9 Based on CBCS & OBE model Recommended scheme of study (For Integrated MSc. in Mathematics and Computing ) Semester/ Session of Study (Recomended) FIRST Level SECOND THIRD 2 Category of course Program Core HSS Humanities & Social Sciences Foundation Sciences Foundation Sciences Mandatory Course GE General Engineering GE L (Periods/ week ) T (Periods/ week) P (Periods/ week) Total Credits C- Credits MA0 Calculus-I 0 6 MA02 Real Analysis & Matrix Theory 0 6 MT2 CH CH2 0/02/ 0/0 Business Communications Chemistry I Chemistry I Lab 2 0 2 0 0 0. 0 0 2 2. MA0 Calculus-II 0 6 MA06 Ordinary Differential Equations 0 6 CE0 Environmental Science 2 0 0 2 PH09 Physics I 0 CS0 PH0 CS02 0/06/ 07/08 Programming for problem solving 0 Physics I Lab 0 0. Programming for problem solving 0 0. 0 0 2 GRAND FOR FIRST YEAR 26 7. MA20 Partial Differential Equations 0 6 MA202 Modern Algebra 0 6 CS20 Data Structure 0 PH Physics II 0 CS202 Data Structure Lab 0 0. PH2 Physics II Lab 0 0. Course Code 20/202/2 0/20 Courses Mode of delivery & credits L-Lecture; T-Tutorial;P- Practicals 0 0 2 C 2
FOURTH 2 MA20 Complex Analysis 0 6 MA206 Linear Algebra 0 6 CS20 Object Oriented Programming and Design Pattern CH2 Chemistry II 0 CS20 Object Oriented Programming and Design Pattern Lab 0 0. CH2 Chemistry II Lab 0 0. FIFTH Program Electives 20/206/2 07/208 0 0 2 2 MA0 Probability and Statistics 0 MA0 Discrete Mathematics 0 CS 206 Design and Analysis of Algorithm CS 20 Computer System Architecture 0 Dept Codes PE I A (Maths) 0 Dept Codes PE II B (Maths/CSE) MA 02 Probability and Statistics Lab 0 0. CS 207 Design and Analysis of Algorithm Lab 0 0. SIXTH 2 MA09 Optimization Techniques 0 MA Numerical Techniques 0 CS 0 Database Management System CS 0 Operating Systems Dept Codes PE III C (Maths) 0 Dept Codes PE IV D (Maths/CSE) MA 0 Optimization Techniques Lab 0 0. MA 2 Numerical Techniques Lab 0 0. CS 02 Database Management System Lab. 0 0. 2. *Course Code and Course Name of Program Electives will depend on the choice of the courses from that group. Internship (In-house/External) of at least 2 months should be done by the students (Non-credit) during th/6th semester. Minimum requirement for Degree award of B. Sc. Honours in Mathematics and Computing (st - 6th Semester) SEVENTH OE* Open Electives MA 0 Real Analysis and Measure Theory 0 MA 02 Advanced Complex Analysis 0 IT2 Soft Computing CS27 Computer Graphics Dept Codes PE V E (Maths) Dept Codes PE VI F (Maths / CSE) OE-I MA 0 Computing Lab (MAT Lab) 0 0. CS28 Computer Graphics Lab 0 0. 26
EIGHTH NINTH MA2 Topology 0 MA Stochastic Processes and Simulation 0 MA Advanced Operation Research 0 IT0 Software Engineering Dept Codes PE VII G (Maths / CSE) OE* OE-II MA Advanced Operation Research Lab. 0 0. IT06 Software Engineering Lab 0 0. 2 MA0 Functional Analysis 0 MA02 Number Theory 0 CS208 Formal Language and Automata Theory Dept Codes PE VIII H (Maths / CSE) Dept Codes PE IX I (Maths / CSE) MT20 Constitution of India 2 0 0 0 7 TENTH RP Research Project / Industry Internship MA00 Dissertation 0 0 0 2 Total Minimum requirement for Degree award of Integrated M. Sc. in Mathematics and Computing (st - 0th Semester) 2 22
PE / LEVEL Level Code no. Name of the PE courses Prerequisites/Corequisites courses with code L T P C MA0 Integral Equations and Green s MA06, MA20 0 PE I A Function V Sem. MA0 Fuzzy Logic MA02 0 MA06 Special Functions MA06, MA20 0 PE II B V Sem. PE III C VI Sem. PE IV D VI Sem. PE V E VII Sem. PE VI F VII Sem. PE VII G VIII Sem. DEPARTMENT OF MATHEMATICS PROGRAMME ELECTIVES: PE OFFERED FOR SEMESTER / LEVEL -9 MA07 Integral Transforms and Applications MA06, MA20 MA08 Difference Equations MA02, MA06, MA20 CS22 Simulation and Modelling IT2 Bio Inspired Computing MA Combinatorics MA0 0 MA Tensor Analysis MA0 0 MA Statistical Quality Control and MA0 Reliability 0 MA6 Computational Linear Algebra MA0, MA0 MA7 Financial Mathematics MA0 MA8 Wavelet Transform MA06, MA20 MA9 Artificial Neural Network MA02, MA0,MA0 IT22 Cloud Computing CS2 Database Modelling MA0 Mathematical Epidemiology MA06, MA20 MA0 Mathematical Modelling MA06, MA20,MA0 MA06 Computational Combinatorics MA0 MA07 Survey Sampling MA0 MA08 Theory of Elasticity MA06, MA20 MA09 Design of Experiments MA0, MA07 MA0 Differential Geometry MA0 MA Computational Mathematics MA06, MA20 IT0 Data Analysis and Interpretation -- CS20 Advanced Data Structure CS20 MA6 Statistical Inference MA0 MA7 Numerical Solutions of Boundary MA06, Value Problems MA20,MA MA8 Mechanics MA06, MA20 MA9 Mathematical Ecology MA06, MA20 IT26 Data Mining Concepts and Techniques -- CS2 Parallel Computing --
PE VIII H IX Sem. PE IX I IX Sem. MA0 Statistical Computing MA0 MA0 Finite Element Methods MA06, MA20 MA0 Calculus of Variations and Optimal MA06, MA20, Control MA09 MA8 MA06 Advanced Difference Equations MA02, MA06, MA20 MA07 Computational Fluid Dynamics MA06, MA20 MA08 Qualitative Theory of Differential Equations MA06, MA20 IT0 Cryptography & Network Security -- CS70 Cyber Crime and Investigation -- CS7 Genetic Algorithm --
DEPARTMENT OF MATHEMATICS OPEN ELECTIVES (OE)* OFFERED FOR LEVEL UG &PG Programme Level Code no. Name of the Courses Prerequisites Courses with code L T P C UG/MO PG/MO MA0 Integral Equations and Green s NIL Function 0 MA0 Fuzzy Logic NIL 0 MA06 Special Functions NIL 0 MA07 Integral Transforms and Applications NIL MA08 Difference Equations NIL MA07 Survey Sampling NIL MA Computational Mathematics NIL MA28 Numerical and Statstical Methods NIL MA0 Discrete Mathematical Structure NIL * OPEN ELECTIVES TO BE OPTED ONLY BY OTHER DEPARTMENT STUDENTS
DEPARTMENT OF MATHEMATICS UG COURSE for BTech, BArch, IMSc Physics, Chemistry and Food Technology OFFERED FOR LEVEL - Semester Level Programme Code No. Name of the courses Prerequisites courses with code L T P C First Second BE MA0 Mathematics I NIL 0 BArch MA0 Mathematics for Architect NIL BE MA07 Mathematics II NIL 0 IMSc MA08 Mathematics III NIL 0 6 Third 2 BE MA20 Numerical Methods NIL 2 0 0 2 MA20 Numerical Methods Lab. NIL 0 0 2 MA0 Discrete Mathematics NIL 0 Fourth 2 IMSc MA207 Mathematics IV NIL 0 6